(a) Write down the value of $8^1$ - Edexcel - A-Level Maths Pure - Question 3 - 2005 - Paper 1
Question 3
(a) Write down the value of $8^1$.
(b) Find the value of $8^{-1$.
Worked Solution & Example Answer:(a) Write down the value of $8^1$ - Edexcel - A-Level Maths Pure - Question 3 - 2005 - Paper 1
Step 1
Write down the value of $8^1$
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Answer
The expression 81 simplifies directly to 8, since any number raised to the power of 1 is the number itself.
Step 2
Find the value of $8^{-1}$
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Answer
To find 8−1, we recognize that a negative exponent signifies the reciprocal of the base raised to the absolute value of the exponent. Therefore, we calculate: